Plz can someone help me out with both questions

Which Greek geometer founded a philosophical society that devoted itself to the study of mathematics

nexus9112 [7]

Pythagoras was the greek geometer.

6 0

3 years ago

Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Inessa [10]

Answer:

perpendicular lines

Step-by-step explanation:

First, put both equations into slope-intercept form.

Lets start with 10x - 2y = 16

Remember that the slope intercept formula is y = mx + b

So, we must get y alone on one side.

First, subtract 10x from both sides

10x - 2y = 16

-2y = -10x + 16

Now, divide both sides by negative 2

y = 5x - 8

Now for our second equation.

First we must subtract x from both sides

x + 5y = -20

5y = -x - 20

Now, divide both sides by 5

y = -1/5x - 4

Now, both of our equations are in slope-intercept form

Here's how to determine if two equations are parallel or perpendicular

Remember that the m in y = mx + b is our slope

Parallel = same slope

Perpendicular = negative reciprocal slope

(ex: take the number 6 take the number -3

negative reciprocal = -1/6 negative reciprocal = 1/3)

If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)

So, these two lines are perpendicular. :)

3 0

3 years ago

Use the elimination method to solve this system.

leva [86]

Answer:

The solution for this system is: $x = -1, y = 1$

Step-by-step explanation:

The problem states that we have to solve this system by the elimination method

In the elimination method, we transform the system in such a way that one variable can cancel each other. With this, we find the result of the other variable. Then, we can replace the variable we found in any of the equations, and we have the value of the variable that we had initially canceled.

In this problem, we have the following system:

$1) -6x + 5y = 1$